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ec_curvedata • Show schema
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{'Ciso': '46200bh', 'Clabel': '46200bh4', 'Cnumber': 4, 'abc_quality': 0.9670732682705956, 'absD': 3001556250000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -3209008, -2212106512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 46200, 'degree': 1179648, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4742325328754122560758574858', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 63, 'isogeny_degrees': [1, 2, 4], 'jinv': [228410605013945764, 187597265625], 'lmfdb_iso': '46200.cl', 'lmfdb_label': '46200.cl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -128360, -17645508], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '20.24.0-4.b.1.1', '24.24.0.m.1', '56.24.0.h.2', '88.24.0.?', '120.48.0.?', '168.48.0.?', '264.48.0.?', '280.48.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '1320.96.0.?', '1848.96.1.?', '3080.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3102093126662276443484425716', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0918909261917409775944510513', 'prec': 100}, 'szpiro_ratio': 5.265749520656462, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 1, 0, -1, 1, 2, -2, 4, 0, -2, -8, 10, -6, 4, 0, 2, -12, 14, -12, 0, 6, -16, 4, -14, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 46200, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '46200.cl', 'trace_hash': 113771464263394124}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0070942898446269193466978240652', 'prec': 110}, 'conductor': 46200, 'gens': [[-37763, 207757, 6]], 'heights': [{'__RealLiteral__': 0, 'data': '8.3102093126662276443484425716', 'prec': 100}], 'lmfdb_label': '46200.cl2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11280497566330655479072470754', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4994636741783784123157343587987764935', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-1012, 0, 1], [2068, 0, 1]], 'xcoord_integral_points': [-1057, -1012, 2068]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '46200.cl2'}
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ec_torsion_growth • Show schema
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id: 2253343
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '46200.cl2', 'torsion': [2, 4]}
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id: 2253345
{'degree': 4, 'field': [23255, 310, -309, -2, 1], 'lmfdb_label': '46200.cl2', 'torsion': [2, 4]}
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id: 2253344
{'degree': 4, 'field': [24179, -306, 307, -2, 1], 'lmfdb_label': '46200.cl2', 'torsion': [2, 4]}
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id: 2253349
{'degree': 8, 'field': [-151875, 0, 114120, 0, -1350, 0, 0, 0, 1], 'lmfdb_label': '46200.cl2', 'torsion': [2, 6]}
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id: 2253348
{'degree': 8, 'field': [225, 0, 210, 0, 79, 0, -14, 0, 1], 'lmfdb_label': '46200.cl2', 'torsion': [2, 8]}
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id: 2253347
{'degree': 8, 'field': [159201, 0, -32502, 0, 3199, 0, -98, 0, 1], 'lmfdb_label': '46200.cl2', 'torsion': [2, 8]}
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id: 2253346
{'degree': 8, 'field': [35194545, -1824900, -59284, 616, 11869, -308, 6, 0, 1], 'lmfdb_label': '46200.cl2', 'torsion': [4, 4]}
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id: 2253351
{'degree': 16, 'field': [2965626225, 60277572000, -53496776060, -13690865320, 7173894394, -408787864, 160218632, -19670608, 3847763, 700008, -128104, -4784, -598, 616, -68, -8, 1], 'lmfdb_label': '46200.cl2', 'torsion': [2, 8]}
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id: 2253352
{'degree': 16, 'field': [22771715409, 0, 5735311272, 0, 302549580, 0, 59448344, 0, -2467210, 0, 25496, 0, 2668, 0, 40, 0, 1], 'lmfdb_label': '46200.cl2', 'torsion': [2, 12]}
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id: 2253350
{'degree': 16, 'field': [3240320235780321, 4757281739064, -5337926723340, 1157300113200, -568533882602, -12535666584, 4838848896, -565660360, 140959463, 418760, -198856, 62888, -10542, 0, 20, -8, 1], 'lmfdb_label': '46200.cl2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 1100851
{'conductor': 46200, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '46200.cl2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1100852
{'conductor': 46200, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '46200.cl2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 1100853
{'conductor': 46200, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '46200.cl2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1100854
{'conductor': 46200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46200.cl2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1100855
{'conductor': 46200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46200.cl2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1971732
{'adelic_gens': [[5543, 0, 0, 9239], [5551, 5550, 8970, 3691], [9233, 8, 9232, 9], [1, 0, 8, 1], [4711, 1850, 2670, 3691], [1, 8, 0, 1], [5, 4, 9236, 9237], [1851, 470, 4150, 7371], [5551, 8780, 1830, 6001], [6161, 7400, 620, 1881]], 'adelic_image': '9240.192.1.?', 'conductor': 46200, 'lmfdb_label': '46200.cl2', 'prime': 0}
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id: 199898
{'conductor': 46200, 'elladic_image': '4.12.0.3', 'lmfdb_label': '46200.cl2', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 2312625
{'lmfdb_iso': '46200.cl', 'p': 13, 'prec': 20, 'unit': 437588589597760882196, 'val': 1}
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id: 2312627
{'lmfdb_iso': '46200.cl', 'p': 17, 'prec': 20, 'unit': 228339908584929871293243, 'val': 1}
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id: 2312618
{'lmfdb_iso': '46200.cl', 'p': 19, 'prec': 20, 'unit': 1749333243520419031958788, 'val': 1}
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id: 2312624
{'lmfdb_iso': '46200.cl', 'p': 29, 'prec': 20, 'unit': 5667334373706152728118726312, 'val': 1}
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id: 2312634
{'lmfdb_iso': '46200.cl', 'p': 31, 'prec': 20, 'unit': 20427085171273047092639751081, 'val': 1}
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id: 2312621
{'lmfdb_iso': '46200.cl', 'p': 37, 'prec': 20, 'unit': 1212440079573571541243916576, 'val': 2}
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id: 2312622
{'lmfdb_iso': '46200.cl', 'p': 41, 'prec': 20, 'unit': 603200049416500081527559496309, 'val': 1}
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id: 2312623
{'lmfdb_iso': '46200.cl', 'p': 43, 'prec': 20, 'unit': 1330276164139049814267462837329, 'val': 1}
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id: 2312629
{'lmfdb_iso': '46200.cl', 'p': 53, 'prec': 20, 'unit': 420934895896647517857110776816970, 'val': 1}
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id: 2312632
{'lmfdb_iso': '46200.cl', 'p': 59, 'prec': 20, 'unit': 3948009990893944939472425888331628, 'val': 1}
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id: 2312633
{'lmfdb_iso': '46200.cl', 'p': 61, 'prec': 20, 'unit': 6039117165704995677515899319472419, 'val': 1}
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id: 2312620
{'lmfdb_iso': '46200.cl', 'p': 67, 'prec': 20, 'unit': 13901696807247282635195763464154893, 'val': 1}
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id: 2312630
{'lmfdb_iso': '46200.cl', 'p': 73, 'prec': 20, 'unit': 80044708158215653629989912942941749, 'val': 1}
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id: 2312626
{'lmfdb_iso': '46200.cl', 'p': 79, 'prec': 20, 'unit': 315037033706996732003896840475223786, 'val': 1}
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id: 2312628
{'lmfdb_iso': '46200.cl', 'p': 83, 'prec': 20, 'unit': 2511481300349591139698831084295349087, 'val': 1}
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id: 2312631
{'lmfdb_iso': '46200.cl', 'p': 89, 'prec': 20, 'unit': 6352703921896912359030334751004457349, 'val': 1}
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id: 2312619
{'lmfdb_iso': '46200.cl', 'p': 97, 'prec': 20, 'unit': 40499175046579027579180454287820975669, 'val': 1}